18 citations · 121 across the 42 of their papers we have counts for
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Classifying locally compact semitopological polycyclic monoids
Serhii Bardyla
We present a complete classification of Hausdorff locally compact polycyclic monoids up to a topological isomorphism. A {\em polycyclic monoid} is an inverse monoid with zero, gene…
On semitopological -bicyclic monoid
Serhii Bardyla
In this paper we consider a semitopological -bicyclic monoid and prove that it is algebraically isomorphic to a semigroup of all order isomorphisms between the p…
On a complete topological inverse polycyclic monoid
Serhii Bardyla, Oleg Gutik
We give sufficient conditions when a topological inverse -polycyclic monoid is absolutely -closed in the class of topological inverse semigroups. Also, for every infini…
On a semitopological polycyclic monoid
Serhii Bardyla, Oleg Gutik
We study algebraic structure of the -polycyclic monoid and its topologizations. We show that the -polycyclic monoid for an infinite cardinal has similar…